Nonlocality, which challenges our comprehension and intuition about the
nature, is a key and distinctive feature of quantum world. Three different
types of nonlocal correlations: Bell nonlocality [1]},
Einstein-Podolsky-Rosen (EPR) steering [2]}, [3]}, [4]}, [5]}, [6]} and entanglement [7]}
have opened an epoch of unrelenting exploration of quantum correlations
since they were introduced. The notion of EPR steering was introduced as the
phenomenon that one can remotely steer the (conditional) quantum state owned
by the other party through local measurements on half of an entangled state
[2]}, [3]}. According to the hierarchy of nonlocality, EPR steering
stands between entanglement and Bell nonlocality [10]}. The
existence of steering does not imply the violation of any Bell inequality,
while the violation of at least one Bell inequality immediately implies
steering in both directions which is referred as two-way steering [11]}. Remarkably, there is a situation that a quantum state may be
steerable from Alice to Bob, but not vice versa, which is called the one-way
steering [11]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}.
This intriguing feature comes from the intrinsically asymmetric with respect
to the two subsystems.
